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NMC 1991 Problem 3

  • Answer

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122+132+…+1n2<23\frac{1}{2^{2}}+\frac{1}{3^{2}}+\ldots+\frac{1}{n^{2}}<\frac{2}{3}

for all n≥2n \geq 2.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{2389}{3600}<\frac{2}{3}

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